MAT135H1 Chapter Notes - Chapter 2.7: Marginal Cost

• School: UTSG
• Department: Mathematics
• Course: MAT135H1
• Professor: natalia Christina Garcia

Document Summary

Mat135h1 f - calculus 8th edition (stewart) - section 2. 7 - derivatives and rates of. Derivatives can be interpreted as rates of change in natural / social science or engineering. One definition of a derivative: the tangent line at a point on an equation. The tangent line to the curve y = f x( ) at the point p a, f a( ) ) is the line through p with slope m = lim x a f x( ) f a( ) x a provided that the limit exists. Example 1: find an equation for the tangent line to y = x 2 at p 1,1( = lim x 1 x 2 1 x 1. Another definition of the derivative, that can be derived from the rise over run formula, is: m = f " a( ) = lim h 0 f a + h. Use this formula when asked to find the derivative from first principles.